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Finding the Fourth Proportional to 35,890.32, 53,839.56 and 9,596.16

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Solution

The fourth proportional to 35,890.32, 53,839.56 and 9,596.16 is: 14,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890.32 : 53,839.56 = 9,596.16 : x
  2. Step 2: Convert to fraction form
    35,890.32/53,839.56 = 9,596.16/x
  3. Step 3: Cross multiply
    35,890.32x = 53,839.56 × 9,596.16
  4. Step 4: Simplify right side
    35,890.32x = 516,653,032.09
  5. Step 5: Solve for x
    x = 516,653,032.09/35,890.32
  6. Step 6: Final answer
    x = 14,395.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.